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Brums [2.3K]
3 years ago
8

Find the sixth term of the geometric sequence 5, -15, 45, ...

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

-1215

Step-by-step explanation:

you muiltpy by -3 every time

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What is the area of the rectangle
NISA [10]

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

4 0
3 years ago
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16+ greater or less than+19
saul85 [17]
By 16+ do you mean positive 16 because if you do then it is less than 19+
7 0
3 years ago
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3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

First applying the property m*log(x)= log(x^m) , we will get.....

ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t
Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

7 0
3 years ago
Answer this simple quick question!! Pls :)
Alex_Xolod [135]

Answer:

If it is that simple then do it yourself LOL

Step-by-step explanation:

6 0
3 years ago
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